24-25 - Reflashcard Graphing System of Equations and Inequalities

A set of two or more equations with the same variables that are solved together.

It means the lines represented by the equations intersect at exactly one point.

It means the lines represented by the equations are parallel and never intersect.

It means the lines represented by the equations are the same line, overlapping completely.

You can graph a linear equation by finding two or more points that satisfy the equation and connecting them with a straight line.

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

The slope indicates the steepness of the line and the direction it goes (positive or negative).

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

You graph each inequality on the same coordinate plane and find the region where the solutions overlap.

The feasible region is the area on the graph that satisfies all the inequalities in the system.